Sawyer's duality principle for grand Lebesgue spaces
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AbstractThe aim of this paper is to extend Sawyer's duality principle from the cone of decreasing functions of the Lebesgue space to the cone of decreasing functions of the grand Lebesgue space and to prove the boundedness of classical Hardy operators in the grand Lebesgue spaces.
- Russian Academy of Sciences Russian Federation
- South Asian University India
- University of Delhi India
- Lady Shri Ram College for Women India
grand Lebesgue space, Inequalities involving derivatives and differential and integral operators, small Lebesgue space, associate space, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), duality principle
grand Lebesgue space, Inequalities involving derivatives and differential and integral operators, small Lebesgue space, associate space, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), duality principle
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